錯視の科学館  展示 No. 14
		数式傾斜錯視
		Tilt Illusions of Mathematical formulae
						新井仁之 (Hitoshi Arai)
	Hitoshi Arai (Univ. Tokyo, Japan) discovered the following tilt illusion which consists of mathematical formulae (November 15, 2009).
		© Hitoshi Arai 2009
	These are in the draft of my book entitled ''Wavelets'' (Kyoritsu Publ. Tokyo, 2010).
	Mathematical meaning : The above formulae represent a construction of wavelet vectors from a scaling filter and a wavelet filter.
	Nov. 18, 2009.
	I informed Professor Akiyoshi Kitaoka the tilt illusion of math. formulae, and immediately I received his message ''I would like to see the clockwise version''. I sought it in my draft, and found out a mathematical formula which seems to tilt clockwise. The following illusion is a modified version of the original one, but the mathematical meaning is equivalent.
		©Hitoshi Arai 2009
	Mathematical meaning: This is the set of decomposition coefficients of the signal x by the scaling vectors and wavelet vectors.
	The above mentioned formulae were made by LaTeX 2e.
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